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A157467 Primes of the form p^2 + 2*p + 2 where p is prime. 2

%I #12 Sep 08 2022 08:45:42

%S 17,37,197,401,577,2917,5477,7057,8101,12101,22501,32401,50177,52901,

%T 57601,69697,72901,80657,98597,122501,147457,176401,193601,197137,

%U 215297,324901,352837,414737,427717,454277,547601,739601,746497,846401

%N Primes of the form p^2 + 2*p + 2 where p is prime.

%t lst={};Do[p=Prime[n];r=Sqrt[p-1]-1;If[PrimeQ[r],AppendTo[lst,p]],{n,4*8!}];lst

%o (Magma) [a: p in PrimesUpTo(950) | IsPrime(a) where a is p^2+2*p+2]; // _Vincenzo Librandi_, Dec 20 2010

%o (PARI) forprime(p=2,1000,m=p^2+2*p+2;if(isprime(m),print1(m,", ")))

%Y Cf. A127435, A127436.

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Mar 01 2009

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)